13664800
13,664,800 is an even composite number composed of five prime numbers multiplied together.
13664800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 13664800:
25 × 52 × 19 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 29 × 31)See below for interesting mathematical facts about the number 13664800 from the Numbermatics database.
Names of 13664800
- Cardinal: 13664800 can be written as Thirteen million, six hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36648 × 107
Factors of 13664800
Divisors of 13664800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 29 31 32 38 40 50 58 62 76 80 95 100 116 124 145 152 155 160 190 200 232 248 290 304 310 380 400 464 475 496 551 580 589 608 620 725 760 775 800 899 928 950 992 1102 1160 1178 1240 1450 1520 1550 1798 1900 2204 2320 2356 2480 2755 2900 2945 3040 3100 3596 3800 4408 4495 4640 4712 4960 5510 5800 5890 6200 7192 7600 8816 8990 9424 11020 11600 11780 12400 13775 14384 14725 15200 17081 17632 17980 18848 22040 22475 23200 23560 24800 27550 28768 29450 34162 35960 44080 44950 47120 55100 58900 68324 71920 85405 88160 89900 94240 110200 117800 136648 143840 170810 179800 220400 235600 273296 341620 359600 427025 440800 471200 546592 683240 719200 854050 1366480 1708100 2732960 3416200 6832400 13664800
- Sum of all divisors σ(n): 37497600
- Sum of proper divisors (its aliquot sum) s(n): 23832800
- 13664800 is an abundant number, because the sum of its proper divisors (23832800) is greater than itself. Its abundance is 10168000
Bases of 13664800
- Binary: 1101000010000010001000002
- Hexadecimal: 0xD08220
- Base-36: 84VTS
Squares and roots of 13664800
- 13664800 squared (136648002) is 186726759040000
- 13664800 cubed (136648003) is 2551583816929792000000
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The
square root of 13664800 is 3696.5930260173 -
The
cube root of 13664800 is 239.0751442897
Scales and comparisons
How big is 13664800?- 13,664,800 seconds is equal to 22 weeks, 4 days, 3 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,664,800 would take you about thirty-three weeks!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13664800 cubic inches would be around 19.9 feet tall.
Recreational maths with 13664800
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